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Natalija [7]
2 years ago
6

3) A number divided by three is nine more than the number.​

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0

Answer:

Number is x =  -13.5

Step-by-step explanation:

Let the number is x

Given condition:

number divided by three is nine more than the number.

This can be written as:

x/3 = 9 + x

Taking x sides at left of equal will make the signs opposite

x/3 - x = 9

Taking denominators of both terms same (3)

x/3 - x* 3/3 = 9

(x- 3x)/ 3 = 9

-2x/3 =9

Multiplying both sides by -3/2

x = 9*(-3/2)

x = -27/2

x= -13.5

Proof:

Given condition is:

x/3 = 9 + x

Putting value of x

-13.5/3 = 9 + (-13.5)

-4.5 = -4.5

I hope it will help you!

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A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6
viktelen [127]

Answer:

10 feet

Step-by-step explanation:

let the ladder be x feet in length

Using the Pythagoras theorem,

6^2+(x-2)^2=x^2

if you solve this you'll get, x = 10

Answered by GAUTHMATH

3 0
3 years ago
Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.
iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

6 0
3 years ago
A garden in the shape of a rectangle a 140 feet long and 95 feet wide.what is the distance around the garden
Tamiku [17]
140 + 140 + 95 + 95 = 470 feet

Hope this helps!
3 0
2 years ago
Read 2 more answers
Ryan works at at the donut shop where he makes $10.25 per hour . He also works part time at the school bookstore where he makes
SCORPION-xisa [38]

Answer:

6 hours

Step-by-step explanation:

Let

x----> the number of hours worked at the donut shop

y----> the number of hours worked at the school bookstore

we know that

x+y=20

x=20-y -----> equation A

10.25x+8.75y=196 -----> equation B

Substitute equation A in equation B and solve for y

10.25(20-y)+8.75y=196

205-10.25y+8.75y=196

10.25y-8.75y=205-196

1.5y=9

y=6 hours at the school bookstore

7 0
3 years ago
Help me pls it’s not too much!
ankoles [38]
9,240 yards = 5.25, or 5 1/4 miles.
3 0
2 years ago
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